Critical behaviors and local transformation properties of wave function

TL;DR

This paper explores the crossing behavior of entanglement Renyi entropies in quantum critical systems, revealing that different phases cannot be locally transformed into each other, thus providing insights into phase distinctions and entanglement properties.

Contribution

It introduces a novel method using crossing behavior of Renyi entropies to distinguish quantum phases and demonstrates that global transformations are required between phases.

Findings

Ground state in one phase cannot be locally transformed to another.

Entanglement Renyi entropy contains more information than von Neumann entropy.

The crossing behavior effectively distinguishes different quantum phases.

Abstract

We investigate crossing behavior of ground state entanglement Renyi entropies of quantum critical systems. We find a novel property that the ground state in one quantum phase cannot be locally transferred to that of another phase, that means a global transformation is necessary. This also provides a clear evidence to confirm the long standing expectation that entanglement Renyi entropy contains more information than entanglement von Neumann entropy. The method of studying crossing behavior of entanglement Renyi entropies can distinguish different quantum phases well. We also study the excited states which still give interesting results.